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Finding the Fourth Proportional to 563,858.51, 778,121.33 and 305,732.81

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Solution

The fourth proportional to 563,858.51, 778,121.33 and 305,732.81 is: 421,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,858.51 : 778,121.33 = 305,732.81 : x
  2. Step 2: Convert to fraction form
    563,858.51/778,121.33 = 305,732.81/x
  3. Step 3: Cross multiply
    563,858.51x = 778,121.33 × 305,732.81
  4. Step 4: Simplify right side
    563,858.51x = 237,897,221,158.48
  5. Step 5: Solve for x
    x = 237,897,221,158.48/563,858.51
  6. Step 6: Final answer
    x = 421,909.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.